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Finding the Fourth Proportional to 304,178.30, 455,944.89 and 117,108.86

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Solution

The fourth proportional to 304,178.30, 455,944.89 and 117,108.86 is: 175,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,178.30 : 455,944.89 = 117,108.86 : x
  2. Step 2: Convert to fraction form
    304,178.30/455,944.89 = 117,108.86/x
  3. Step 3: Cross multiply
    304,178.30x = 455,944.89 × 117,108.86
  4. Step 4: Simplify right side
    304,178.30x = 53,395,186,290.73
  5. Step 5: Solve for x
    x = 53,395,186,290.73/304,178.30
  6. Step 6: Final answer
    x = 175,539.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.